Name:     ID: 
 
    Email: 

Algebra DCA Practice

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Write an algebraic expression for the verbal expression.
35 less the product of 4 and x
a.
35 + 4x
c.
35 ¸ 4x
b.
4x ´ 35
d.
35 – 4x
 

 2. 

Write a verbal expression for the algebraic expression.
dca_practice_test_files/i0030000.jpg
a.
5 times x squared less 2
b.
five plus x squared plus 2
c.
the product of 5 times x squared and 2
d.
five times x squared plus 2
 

 3. 

Evaluate the expression:
dca_practice_test_files/i0040000.jpg
a.
50
c.
88
b.
106
d.
90
 

 4. 

Evaluate the following expression if a = 12, b = 5, and c = 4.
3c + bc – 2a
a.
67
c.
8
b.
132
d.
84
 

 5. 

Find the difference:
–74 – 66
a.
140
c.
8
b.
–140
d.
–8
 

 6. 

Use the set of data to make a stem-and-leaf plot.
4.3
4.9
4.9
4.8
1.4
1.5
4.9
4.5
1.1
2.4
1.9
2.5
3.8
3.3
3.8
         
a.
dca_practice_test_files/i0070000.jpg
c.
dca_practice_test_files/i0070001.jpg
b.
dca_practice_test_files/i0070002.jpg
d.
dca_practice_test_files/i0070003.jpg
 

 7. 

Simplify.
dca_practice_test_files/i0080000.jpg
a.
dca_practice_test_files/i0080001.jpg
c.
dca_practice_test_files/i0080002.jpg
b.
dca_practice_test_files/i0080003.jpg
d.
dca_practice_test_files/i0080004.jpg
 

 8. 

Simplify.
dca_practice_test_files/i0090000.jpg
a.
dca_practice_test_files/i0090001.jpg
c.
dca_practice_test_files/i0090002.jpg
b.
dca_practice_test_files/i0090003.jpg
d.
dca_practice_test_files/i0090004.jpg
 

 9. 

Express the number in the statement in standard notation.
The Library of Congress collection includes dca_practice_test_files/i0100000.jpg maps.
a.
480,000
c.
480,000,000
b.
4,800,000
d.
48,000,000
 

 10. 

Find the sum
dca_practice_test_files/i0110000.jpg
a.
dca_practice_test_files/i0110001.jpg
c.
dca_practice_test_files/i0110002.jpg
b.
dca_practice_test_files/i0110003.jpg
d.
dca_practice_test_files/i0110004.jpg
 

 11. 

Find the difference
dca_practice_test_files/i0120000.jpg
a.
dca_practice_test_files/i0120001.jpg
c.
dca_practice_test_files/i0120002.jpg
b.
dca_practice_test_files/i0120003.jpg
d.
dca_practice_test_files/i0120004.jpg
 

 12. 

Find the product
dca_practice_test_files/i0130000.jpg
a.
dca_practice_test_files/i0130001.jpg
c.
dca_practice_test_files/i0130002.jpg
b.
dca_practice_test_files/i0130003.jpg
d.
dca_practice_test_files/i0130004.jpg
 

 13. 

Solve the inequality. Graph the solution on a number line
dca_practice_test_files/i0140000.jpg
a.
dca_practice_test_files/i0140001.jpg
dca_practice_test_files/i0140002.jpg
b.
dca_practice_test_files/i0140003.jpg
dca_practice_test_files/i0140004.jpg
c.
dca_practice_test_files/i0140005.jpg
dca_practice_test_files/i0140006.jpg
d.
dca_practice_test_files/i0140007.jpg
dca_practice_test_files/i0140008.jpg
 

 14. 

Graph the inequality
dca_practice_test_files/i0150000.jpg
a.
dca_practice_test_files/i0150001.jpg
c.
dca_practice_test_files/i0150002.jpg
b.
dca_practice_test_files/i0150003.jpg
d.
dca_practice_test_files/i0150004.jpg
 

 15. 

Find the three terms of the arithmetic sequence
55, 47, 39, 31, . . .
a.
36, 41, 46
c.
29, 27, 25
b.
23, 15, 7
d.
26, 21, 16
 

 16. 

A bowl contains 7 green chips, 4 blue chips, and 9 red chips. You choose one chip at random. Find the probability.
P(red chip)
a.
dca_practice_test_files/i0170000.jpg
c.
dca_practice_test_files/i0170001.jpg
b.
dca_practice_test_files/i0170002.jpg
d.
1
 

 17. 

Find the square root. If necessary, round to the nearest hundredth.
dca_practice_test_files/i0180000.jpg
a.
±dca_practice_test_files/i0180001.jpg
c.
0.51
b.
±dca_practice_test_files/i0180002.jpg
d.
dca_practice_test_files/i0180003.jpg
 

 18. 

Use elimination to solve the system of equations.
dca_practice_test_files/i0190000.jpg
a.
(1, –2)
c.
(–1, 2)
b.
(–3, 0)
d.
(3, 0)
 

 19. 

The students in Mr. Johnson’s science class recorded the average monthly high temperature for September through February. They used the data to draw the following bar graph.

Average Monthly High Temperature
dca_practice_test_files/i0200000.jpg

How much warmer was the average high temperature in October than in February?
a.
25°
c.
b.
15°
d.
30°
 

 20. 

Draw a box-and-whisker plot for the set of data.
27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100
a.
dca_practice_test_files/i0210000.jpg
b.
dca_practice_test_files/i0210001.jpg
c.
dca_practice_test_files/i0210002.jpg
d.
dca_practice_test_files/i0210003.jpg
 

 21. 

Solve the proportion:
dca_practice_test_files/i0220000.jpg
a.
6.5
b.
52
c.
80
d.
63
e.
Not Given
 

 22. 

An 18 foot tall flagpole currently casts a 60 foot long shadow.  If  Esther, who is standing nearby, is 3 feet tall, how long is her shadow?
a.
10 feet
b.
45 feet
c.
30 feet
d.
6 feet
e.
Not Given
 

 23. 

If you buy a computer for $700, at 12% sales tax, then what is the total cost of the computer including tax? 
a.
$ 1,540.00
b.
$ 784.00
c.
$ 712.00
d.
$ 758.33
e.
Not Given
 

 24. 

Solve the equation:
12p – 18 = 30
a.
dca_practice_test_files/i0250000.jpg
b.
4
c.
36
d.
20.5
e.
Not Given
 

 25. 

Solve the equation:
3x + 6 = 2x + 6
a.
dca_practice_test_files/i0260000.jpg
c.
All Real Numbers
e.
Not Given
b.
No Solution
d.
dca_practice_test_files/i0260001.jpg
 

 26. 

Solve the equation:
2(–5n - 10) = 10
a.
dca_practice_test_files/i0270000.jpg
b.
dca_practice_test_files/i0270001.jpg
c.
dca_practice_test_files/i0270002.jpg
d.
–3
e.
Not Given
 

 27. 

In 1994, school lunch at Rockwell High School was $1.20. In 1999, the cost increased to $2.25. Find the annual rate of change in the price for school lunch from 1994 to 1999.
a.
$0.18 per year
c.
$0.20 per year
b.
$0.21 per year
d.
$1.05 per year
 

 28. 

Write a direct variation equation that relates the variables. Then graph the equation.
The total cost is C for n packages of popcorn priced at $1.50 per package.
a.
dca_practice_test_files/i0290000.jpg
dca_practice_test_files/i0290001.jpg
c.
dca_practice_test_files/i0290002.jpg
dca_practice_test_files/i0290003.jpg
b.
dca_practice_test_files/i0290004.jpg
dca_practice_test_files/i0290005.jpg
d.
dca_practice_test_files/i0290006.jpg
dca_practice_test_files/i0290007.jpg
 

 29. 

Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle.
Write an equation for the total cost C of renting a bicycle and riding for m miles.
a.
dca_practice_test_files/i0300000.jpg
c.
dca_practice_test_files/i0300001.jpg
b.
dca_practice_test_files/i0300002.jpg
d.
dca_practice_test_files/i0300003.jpg
 

 30. 

Write a linear equation in slope-intercept form to model the situation.
The temperature is 38° and is expected to rise at a rate of 3° per hour.
a.
dca_practice_test_files/i0310000.jpg
c.
dca_practice_test_files/i0310001.jpg
b.
dca_practice_test_files/i0310002.jpg
d.
dca_practice_test_files/i0310003.jpg
 

 31. 

Solve the equations:
dca_practice_test_files/i0320000.jpg– 6 = –11
a.
–68
b.
–20
c.
–1
d.
–38
e.
Not Given
 

 32. 

At the pizza parlor you have a choice of 2 meats, 7 veggies, and 4 cheeses. You choose one of each topping for your pizza.  How many different pizzas can you order?
a.
14
c.
8
b.
28
d.
56
 

 33. 

Calculate using order of operations on rational numbers
2[12 + (5 - 2)2]
a.
33
c.
450
b.
42
d.
122
 

 34. 

Evaluate the expression
66 + 3(10 – 6)
a.
276
c.
90
b.
78
d.
18
 

 35. 

Evaluate the following expression if x = 10, y = 4, and z = 4.
dca_practice_test_files/i0360000.jpg
a.
392
c.
98
b.
8
d.
200
 

 36. 

Evaluate the following expression if a = 9, b = 8, and c = 10.
3c + bc – 2a
a.
76
c.
92
b.
606
d.
522
 

 37. 

Find the value of dca_practice_test_files/i0380000.jpgdca_practice_test_files/i0380001.jpg
a.
2
c.
25
b.
10
d.
5
 

 38. 

Solve the equation:
dca_practice_test_files/i0390000.jpg
a.
dca_practice_test_files/i0390001.jpg
c.
5
b.
dca_practice_test_files/i0390002.jpg
d.
–5
 

 39. 

Solve the equation:
dca_practice_test_files/i0400000.jpg
a.
–4
c.
4
b.
dca_practice_test_files/i0400001.jpg
d.
dca_practice_test_files/i0400002.jpg
 

 40. 

Solve the equation
dca_practice_test_files/i0410000.jpg
a.
–19
c.
dca_practice_test_files/i0410001.jpg
b.
dca_practice_test_files/i0410002.jpg
d.
19
 

 41. 

A bacteria culture doubles every 3 hours. After 9 hours, there are 60,000 bacteria. How many bacteria were there to start?
a.
10,000
c.
20,000
b.
15,000
d.
7,500
 

 42. 

Jeanette can make 10 pompoms in 5 hours. If she works 12 hours, how many pompoms can she make?
a.
79.2 pompoms
c.
60 pompoms
b.
24 pompoms
d.
82.67 pompoms
 

 43. 

Write an algebraic expression for the verbal expression:
the sum of 15 and a
a.
15 + a
c.
15 ¸ a
b.
15 – a
d.
a ´ 15
 

 44. 

Solve the inequality. Graph the solution on a number line.
dca_practice_test_files/i0450000.jpg

dca_practice_test_files/i0450001.jpg
a.
dca_practice_test_files/i0450002.jpg
dca_practice_test_files/i0450003.jpg
b.
dca_practice_test_files/i0450004.jpg
dca_practice_test_files/i0450005.jpg
c.
dca_practice_test_files/i0450006.jpg
dca_practice_test_files/i0450007.jpg
d.
dca_practice_test_files/i0450008.jpg
dca_practice_test_files/i0450009.jpg
 

 45. 

Solve the system of quations by graphing:dca_practice_test_files/i0460000.jpg
dca_practice_test_files/i0460001.jpg
a.
dca_practice_test_files/i0460002.jpg
c.
dca_practice_test_files/i0460003.jpg
b.
dca_practice_test_files/i0460004.jpg
d.
dca_practice_test_files/i0460005.jpg
 

Short Answer
 

 46. 

The table represents the relationship of the weight of candy corn to the cost of candy corn.

Pounds of candy corn
4
8
12
16
Cost of candy corn